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In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine...

Mathematics
JAMB 1978
In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.
  • A. 4cm
  • B. 6cm
  • C. 3cm
  • D. 2cm
  • E. 1cm
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Correct Answer: Option B
Explanation
Angles ADE and EFC are similar,
Therefore,

= \(\frac{x}{3} = \frac{4}{2}\)

= \(\frac{x}{3} = 2\)

x = 3 x 2 = 6
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